Search a number
-
+
10042030332 = 22322979313389
BaseRepresentation
bin10010101101000110…
…10011100011111100
3221220211211222220100
421112203103203330
5131031224432312
64340243321100
7503564564235
oct112643234374
927824758810
1010042030332
114293512024
121b43080190
13c406151a9
146b398408c
153db9115dc
hex2568d38fc

10042030332 has 144 divisors (see below), whose sum is σ = 26745264000. Its totient is φ = 3172635648.

The previous prime is 10042030331. The next prime is 10042030379. The reversal of 10042030332 is 23303024001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042030331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25814794 + ... + 25815182.

It is an arithmetic number, because the mean of its divisors is an integer number (185731000).

Almost surely, 210042030332 is an apocalyptic number.

10042030332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042030332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372632000).

10042030332 is an abundant number, since it is smaller than the sum of its proper divisors (16703233668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10042030332 is a wasteful number, since it uses less digits than its factorization.

10042030332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10042030332 its reverse (23303024001), we get a palindrome (33345054333).

The spelling of 10042030332 in words is "ten billion, forty-two million, thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 79 87 116 158 174 237 261 313 316 348 389 474 522 626 711 778 939 948 1044 1167 1252 1422 1556 1878 2291 2334 2817 2844 3501 3756 4582 4668 5634 6873 7002 9077 9164 11268 11281 13746 14004 18154 20619 22562 24727 27231 27492 30731 33843 36308 41238 45124 49454 54462 61462 67686 74181 81693 82476 92193 98908 101529 108924 121757 122924 135372 148362 163386 184386 203058 222543 243514 276579 296724 326772 365271 368772 406116 445086 487028 553158 717083 730542 890172 891199 1095813 1106316 1434166 1461084 1782398 2151249 2191626 2673597 2868332 3530953 3564796 4302498 4383252 5347194 6453747 7061906 8020791 8604996 9618803 10592859 10694388 12907494 14123812 16041582 19237606 21185718 25814988 28856409 31778577 32083164 38475212 42371436 57712818 63557154 86569227 115425636 127114308 173138454 278945287 346276908 557890574 836835861 1115781148 1673671722 2510507583 3347343444 5021015166 10042030332